Least Common Multiple of 724/282, 454/555, 974/522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 724/282, 454/555, 974/522 quickly i.e. 80037476/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 724/282, 454/555, 974/522 is 80037476/3.

LCM(724/282, 454/555, 974/522) = 80037476/3

LCM of 724/282, 454/555, 974/522

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 724/282,454/555,974/522

Given numbers are 724/282,454/555,974/522

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 724,454,974

Least Common Multiple of Numerators i.e. LCM of 724,454,974 is 80037476.

GCF of Denominators means GCF of 282,555,522 as per the given fractions.

GCF of 282,555,522 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 724,454,974

LCM of Fractions 724/282,454/555,974/522 is 80037476/3

2 724, 454, 974
362, 227, 487

∴ So the LCM of the given numbers is 2 x 362 x 227 x 487 = 80037476

Least Common Multiple of 724,454,974 with GCF Formula

Least Common Multiple of 724,454,974 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 724,454,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,454,974) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(724,454,974) x common factors =2 x 2 = 4

LCM(724,454,974) = ( 724 × 454 × 974 ) / 4

LCM(724,454,974) = 320149904 / 4

LCM(724,454,974) = 80037476


Lets's calculate GCF of 282,555,522

3 282, 555, 522
94, 185, 174

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80037476/3

Therefore the LCM of Fractions 724/282,454/555,974/522 is 80037476/3

Greatest Common Factor of 282,555,522 By Matching Biggest Common Factor Method

Greatest Common Factor of 282,555,522 By Matching Biggest Common Factor Method

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Factors of 555

List of positive integer factors of 555 that divides 555 without a remainder.

1,3,5,15,37,111,185,555

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Greatest Common Factor

We found the factors 282,555,522 . The biggest common factor number is the GCF number.
So the greatest common factor 282,555,522 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 724/282, 454/555, 974/522

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 724/282, 454/555, 974/522?

Answer: LCM of Numerators as per given numbers 724/282, 454/555, 974/522 is

LCM of Numerators i.e. for 724,454,974 is 80037476

GCF of denominators i.e. for 282,555,522 is 3.

Thus, LCM of Fractions is 80037476/3.Finally, LCM of Fractions for 724/282, 454/555, 974/522 is 80037476/3.